Question

XYZ is a right angled triangle with angleX = 90°, XY = 9cm and YZ = 12 cm. Ox is perpendicular on YZ. Find OX. In my book 7.2 cm is answer so yoir answer should same.​

Answer 1

Answer:

XYZ is a right angled triangle with X = 90°, XY = 9 cm, and YZ = 12 cm

From Pytahgorus Theorem,

(YZ)² = (XY)² + (XZ)²

=> 12² = 9² + (XZ)²

=> 144 = 81 + (XZ)²

=> 63 = (XZ)²

=> XZ = √63

=> XZ = 3√7 cm

Area of Triangle ΔXYZ = (1/2) * XY * XZ = (1/2) * YZ * OX

=> XY * XZ = YZ * OX

=> 9 * 3√7 = 12 * OX

=> 9√7 4 = OX

=> OX = 9√7/4 cm